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31192324352 = 28727135023
BaseRepresentation
bin11101000011001101…
…010001100100000000
32222111211212020220022
4131003031101210000
51002340213334402
622155103433012
72152655245100
oct350315214400
988454766808
1031192324352
1112257287a62
1260662b5768
132c313cc977
14171c93b200
15c2864a2a2
hex743351900

31192324352 has 108 divisors (see below), whose sum is σ = 73450371456. Its totient is φ = 13179479040.

The previous prime is 31192324343. The next prime is 31192324357. The reversal of 31192324352 is 25342329113.

It is a super-2 number, since 2×311923243522 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31192324357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 873113 + ... + 908135.

It is an arithmetic number, because the mean of its divisors is an integer number (680096032).

Almost surely, 231192324352 is an apocalyptic number.

31192324352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31192324352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36725185728).

31192324352 is an abundant number, since it is smaller than the sum of its proper divisors (42258047104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31192324352 is an equidigital number, since it uses as much as digits as its factorization.

31192324352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35124 (or 35103 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The spelling of 31192324352 in words is "thirty-one billion, one hundred ninety-two million, three hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 71 98 112 128 142 196 224 256 284 392 448 497 568 784 896 994 1136 1568 1792 1988 2272 3136 3479 3976 4544 6272 6958 7952 9088 12544 13916 15904 18176 27832 31808 35023 55664 63616 70046 111328 127232 140092 222656 245161 280184 445312 490322 560368 890624 980644 1120736 1716127 1961288 2241472 2486633 3432254 3922576 4482944 4973266 6864508 7845152 8965888 9946532 13729016 15690304 17406431 19893064 27458032 31380608 34812862 39786128 54916064 62761216 69625724 79572256 109832128 121845017 139251448 159144512 219664256 243690034 278502896 318289024 439328512 487380068 557005792 636578048 974760136 1114011584 1949520272 2228023168 3899040544 4456046336 7798081088 15596162176 31192324352